Solomon gives us the "trinity" of divine guidance here. He describes three indispensable tools for not losing our way:
The Command Is a Lamp
A lamp (in the ancient context) only lit up the next immediate step. God's specific commands ("don't lie," "honor your parents," "be faithful") are focused beams of light for specific decisions. They show us where to step right now.
The Teaching Is a Light
"Light" (like daylight) illuminates the whole environment. Teaching (the general instruction of Wisdom) gives us the panoramic view, understanding how life works, clearing our minds of ignorance.
Correction and Instruction Are the Way to Life
Here's the hardest point. Light shows us the road, but correction is what keeps us on it. When we drift left or right, discipline (feedback, rebuke, consequence) is the guard-rail pushing us back onto the road. Without accepting correction, light is useless, because we'd see the path but walk right off the cliff.
"The Knight in Rusty Armor" — Robert Fisher
The Knight was in the darkness of his own armor. He needed the "Light" of understanding to see who he was, but it was the "Path of Truth" (which involved the pain of correction and self-knowledge) that led him to life. Without accepting the pain of correction, he would have died locked inside the metal.
"Good to Great" — Jim Collins
Facing the "Brutal Facts" is accepting the light of reality. The companies that failed were the ones that refused the "correction" the market or the numbers were showing them. The discipline of accepting the truth, even when it hurts, is the "way to life" for an organization.
"The Root of Rejection" — Joyce Meyer
The person wounded by rejection hates the third part of this verse ("correction"). They feel that being corrected means being diminished or hated. Healing means understanding that correction is a tool of protection and direction, not punishment. God corrects because He loves and wants to keep us on the way to life.
Jesus said: "I am the light of the world" (John 8:12) and "I am the way and the truth and the life" (John 14:6).
He fulfills this proverb perfectly.
Accepting Christ's lordship means accepting to walk in the Light, and above all, accepting to be corrected by Him whenever our feet try to stray from the trail.